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1120431240324 = 22321137963111831
BaseRepresentation
bin10000010011011110111…
…001111111010010000100
310222010000210001022111100
4100103132321333102010
5121324120344142244
62214415145540100
7143643221255604
oct20233671772204
93863023038440
101120431240324
113a2199253280
121611921a4630
138186b911ba6
143c32cb66c04
151e229501b69
hex104dee7f484

1120431240324 has 144 divisors (see below), whose sum is σ = 3102997847040. Its totient is φ = 338063544000.

The previous prime is 1120431240259. The next prime is 1120431240349. The reversal of 1120431240324 is 4230421340211.

1120431240324 is a `hidden beast` number, since 1 + 1 + 20 + 4 + 312 + 4 + 0 + 324 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94697089 + ... + 94708919.

It is an arithmetic number, because the mean of its divisors is an integer number (21548596160).

Almost surely, 21120431240324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120431240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551498923520).

1120431240324 is an abundant number, since it is smaller than the sum of its proper divisors (1982566606716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120431240324 is a wasteful number, since it uses less digits than its factorization.

1120431240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1120431240324 its reverse (4230421340211), we get a palindrome (5350852580535).

The spelling of 1120431240324 in words is "one trillion, one hundred twenty billion, four hundred thirty-one million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 379 396 631 758 1137 1262 1516 1893 2274 2524 3411 3786 4169 4548 5679 6822 6941 7572 8338 11358 11831 12507 13644 13882 16676 20823 22716 23662 25014 27764 35493 37521 41646 47324 50028 62469 70986 75042 83292 106479 124938 130141 141972 150084 212958 239149 249876 260282 390423 425916 478298 520564 717447 780846 956596 1171269 1434894 1561692 2152341 2342538 2630639 2869788 4304682 4483949 4685076 5261278 7465361 7891917 8609364 8967898 10522556 13451847 14930722 15783834 17935796 22396083 23675751 26903694 29861444 31567668 40355541 44792166 47351502 49323439 53807388 67188249 80711082 82118971 89584332 94703004 98646878 134376498 147970317 161422164 164237942 197293756 246356913 268752996 295940634 328475884 443910951 492713826 591881268 739070739 887821902 985427652 1478141478 1775643804 2829371819 2956282956 5658743638 8488115457 11317487276 16976230914 25464346371 31123090009 33952461828 50928692742 62246180018 93369270027 101857385484 124492360036 186738540054 280107810081 373477080108 560215620162 1120431240324